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Finding the Fourth Proportional to 36,842.68, 50,842.74 and 20,075.68

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Solution

The fourth proportional to 36,842.68, 50,842.74 and 20,075.68 is: 27,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842.68 : 50,842.74 = 20,075.68 : x
  2. Step 2: Convert to fraction form
    36,842.68/50,842.74 = 20,075.68/x
  3. Step 3: Cross multiply
    36,842.68x = 50,842.74 × 20,075.68
  4. Step 4: Simplify right side
    36,842.68x = 1,020,702,578.56
  5. Step 5: Solve for x
    x = 1,020,702,578.56/36,842.68
  6. Step 6: Final answer
    x = 27,704.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.